Q. 20

# If z1 = (2 – i) and z2 = (1 + i), find .

Given: z1 = (2 – i) and z2 = (1 + i)

To find:

Consider,

Putting the value of z1 and z2, we get

Now, rationalizing by multiply and divide by the conjugate of 1 – i

[(a – b)(a + b) = a2 – b2]

[Putting i2 = -1]

= |2(1 + i)|

= |2 + 2i|

Now, we have to find the modulus of (2 + 2i)

So,

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Polar & Euler Form of Complex Numbers on Argand Plane32 mins
Interactive Quiz Time - Polar & Euler Form of complex number58 mins
Practice session | Argument of complex numbers61 mins
Modulus & Conjugate of Complex Number | Ready for a Quiz?48 mins
Interactive Quiz on Quadratic Equations73 mins
Special Quiz on Argument of complex numbers56 mins
Polar & Euler Form of Complex Number on Argand Plane58 mins
Questions on Modulus & Conjugate of Complex Number62 mins
Questions Based on Polar & Euler Form of Complex Number63 mins
Interactive Quiz on Quadratic Equations-0252 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses